2589090159040 has 896 divisors, whose sum is σ = 8308772702208. Its totient is φ = 743815249920.

The previous prime is 2589090159017. The next prime is 2589090159041. The reversal of 2589090159040 is 409510909852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2589090159041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6941260294 + ... + 6941260666.

Almost surely, 2^{2589090159040} is an apocalyptic number.

2589090159040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2589090159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154386351104).

2589090159040 is an abundant number, since it is smaller than the sum of its proper divisors (5719682543168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2589090159040 is a wasteful number, since it uses less digits than its factorization.

2589090159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 52.

The spelling of 2589090159040 in words is "two trillion, five hundred eighty-nine billion, ninety million, one hundred fifty-nine thousand, forty".